C₈×#14556670 #34020332

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄²

Aliases

Fitting	C₂×C₄×C₈×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₈×#117

1174 conjugacy classes of subgroups.

μ_t(G) = 4672

1312 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1103916);